GATE EC 2014 Question Paper (16-Feb-2014) (Shift 1)

The input -3 e${}^{2t}$ u(t), where u(t) is unit step function is applied to a system with transfer function $\frac{s-2}{s+3}$. If the initial value of the output is -2. Then value of output at steady state is ---------

The phase response of a passband waveform at receiver is given by

$\varphi \left(f\right)=-2\pi \alpha \left(f-f_c\right)-2\pi \beta f_c$

Where $f_c$ is center frequency and $\alpha ,\beta$ are positive constants. The actual signal propagation delay from transmitter to receiver is:

Consider an FM signal f(t) = cos [2πf${}_c$ t + β₁ sin 2πf₁t + β₂ sin 2πf₂t]. The maximum deviation of the instantaneous frequency from the carrier frequency f${}_c$ is

Consider an air-filled rectangular waveguide with a cross-section of 5 cm × 3 cm. For this waveguide, the cut-off frequency (in MHz) of TE₂₁ mode is _________.

In the following figure, the transmitter Tx sends a wideband modulated RF signal via a coaxial cable to the receiver Rx. The output impedance Z${}_T$ of Tx, the characteristic impedance Z₀ of the cable, and the input impedance Z${}_R$ of Rx are all real.



Which one of the following statements is TRUE about the distortion of the received signal due to impedance mismatch?